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A Finite Element Investigation of Elastic Flow Asymmetries in Cross-Slot Geometries Using a Direct Steady Solver

A. Filali1, L. Khezzar1,2
Department of Mechanical Engineering, Petroleum Institute, Abu Dhabi, United Arab Emirates.
Corresponding author. Email: lkhezzar@pi.ac.ae

Fluid Dynamics & Materials Processing 2013, 9(3), 307-329. https://doi.org/10.3970/fdmp.2013.009.307

Abstract

Numerical investigations of purely-elastic instabilities occurring in creeping flows are reported in planar cross-slot geometries with both sharp and round corners. The fluid is described by the upper-convected Maxwell model, and the governing equations are solved using the finite element technique based on a steady (non-iterative) direct solver implemented in the POLYFLOWcommercial software (version 14.0). Specifically, extensive simulations were carried out on different meshes, with and without the use of flow perturbations, for a wide range of rheological parameters. Such simulations show the onset of flow asymmetries above a critical Deborah number (De). The effect of rounding the corners is also addressed. The numerical results obtained are found to be in good quantitative agreement with previously published numerical results

Keywords

Purely-elastic flow instabilities, Sharp and round cross-slot geometries, Finite-element method, Upper-Convected Maxwell (UCM) model.

Cite This Article

Filali, A., Khezzar, L. (2013). A Finite Element Investigation of Elastic Flow Asymmetries in Cross-Slot Geometries Using a Direct Steady Solver. FDMP-Fluid Dynamics & Materials Processing, 9(3), 307–329.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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